Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation

Published

Journal Article

© 2015 Elsevier Inc. We develop an efficient algorithm for a spatially inhomogeneous matrix-valued quantum Boltzmann equation derived from the Hubbard model. The distribution functions are 2 × 2 matrix-valued to accommodate the spin degree of freedom, and the scalar quantum Boltzmann equation is recovered as a special case when all matrices are proportional to the identity. We use Fourier discretization and fast Fourier transform to efficiently evaluate the collision kernel with spectral accuracy, and numerically investigate periodic, Dirichlet and Maxwell boundary conditions. Model simulations quantify the convergence to local and global thermal equilibrium.

Full Text

Duke Authors

Cited Authors

  • Lu, J; Mendl, CB

Published Date

  • June 5, 2015

Published In

Volume / Issue

  • 291 /

Start / End Page

  • 303 - 316

Electronic International Standard Serial Number (EISSN)

  • 1090-2716

International Standard Serial Number (ISSN)

  • 0021-9991

Digital Object Identifier (DOI)

  • 10.1016/j.jcp.2015.03.020

Citation Source

  • Scopus